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A numerical guide to the solution of the bidomain equations of cardiac electrophysiology

D.J.a Pathmanathan P.a Bernabeu M.O.a Bordas R.a Cooper J.a Garny A.b Pitt−Francis J.M.a Whiteley J.P.a Gavaghan

Abstract

Simulation of cardiac electrical activity using the bidomain equations can be a massively computationally demanding problem. This study provides a comprehensive guide to numerical bidomain modelling. Each component of bidomain simulations-discretisation, ODE-solution, linear system solution, and parallelisation-is discussed, and previously-used methods are reviewed, new methods are proposed, and issues which cause particular difficulty are highlighted. Particular attention is paid to the choice of stimulus currents, compatibility conditions for the equations, the solution of singular linear systems, and convergence of the numerical scheme. © 2010 Elsevier Ltd.

Affiliation
Oxford University Computing Laboratory‚ Wolfson Building‚ Parks Road‚ Oxford OX1 3QD‚ United Kingdom; Oxford University Department of Physiology‚ Anatomy and Genetics‚ Sherrington Building‚ Parks Road‚ Oxford OX1 3PT‚ United Kingdom
Journal
Progress in Biophysics and Molecular Biology
Note
cited By 33
Number
2−3
Pages
136−155
Volume
102
Year
2010